Copyright The McGrawHill Companies, Inc. Permission required for reproduction or display.


 Grant Patrick
 2 years ago
 Views:
Transcription
1 AlexanderSadiku Fundamentals of Electric Circuits Chapter 3 Methods of Analysis Copyright The McGrawHill Companies, Inc. Permission required for reproduction or display. 1 Methods of Analysis  Chapter Motivation 3.2 Nodal analysis. 3.3 Nodal analysis with voltage sources. 3.4 Mesh analysis. 3.5 Mesh analysis with current sources. 3.6 Nodal and mesh analysis by inspection. 3.7 Nodal versus mesh analysis. 2 1
2 3.1 Motivation (1) If you are given the following circuit, how can we determine (1) the voltage across each resistor, (2) current through each resistor. (3) power generated by each current source, etc. What are the things which we need to know in order to determine the answers? 3 Things we need to know in solving any resistive circuit with current and voltage sources only: Kirchhoff s Current Laws (KCL) Kirchhoff s Voltage Laws (KVL) Ohm s Law 3.1 Motivation (2) How should we apply these laws to determine the answers? 4 2
3 3.2 Nodal Analysis (1) It provides a general procedure for analyzing circuits using node voltages as the circuit variables. Example Nodal Analysis (2) Steps to determine the node voltages: 1. Select a node as the reference node. 2. Assign voltages v1,v2,,vn1 to the remaining n1 nodes. The voltages are referenced with respect to the reference node. 3. Apply KCL to each of the n1 nonreference nodes. Use Ohm s law to express the branch currents in terms of node voltages. 4. Solve the resulting simultaneous equations to obtain the unknown node voltages. 6 3
4 3.2 Nodal Analysis (3) Example 2 circuit independent current source only Apply KCl at node 1 and 2 v 1 v 2 3 *Refer to inclass illustration, textbook, answer v 1 = 2V, v 2 = 14V Nodal Analysis (4) Example 3 current with dependant current source *Refer to inclass illustration, textbook, answer v 1 = 4.8V, v 2 = 2.4V, v 3 = 2.4V 8 4
5 3.3 Nodal Analysis with Voltage Source (1) Example 4 circuit with independent voltage source How to handle the 2V voltage source? Nodal Analysis with Voltage Source (2) A supernode is formed by enclosing a (dependent or independent) voltage source connected between two nonreference nodes and any elements connected in parallel with it. *Note: We analyze a circuit with supernodes using the same three steps mentioned above except that the supernodes are treated differently. 10 5
6 3.3 Nodal Analysis with Voltage Source (3) Basic steps: 1. Take off all voltage sources in supernodes and apply KCL to supernodes. 2. Put voltage sources back to the nodes and apply KVL to relative loops Nodal Analysis with Voltage Source (4) Example 5 circuit with independent voltage source Supernode => 2i 1 i 27 = 0 Apply KVL => v 1 +2v 2 =
7 3.3 Nodal Analysis with Voltage Source (5) Example 6 sources circuit with two independent voltage Nodal Analysis with Voltage Source (6) Example 7 sources circuit with two independent voltage i 1 i 2 + i 3 = 0 i 3 i 5 i 4 + i 1 = 0 v 120v 2 = 0 v 33v x v 4 =
8 3.4 Mesh Analysis (1) 1. Mesh analysis provides another general procedure for analyzing circuits using mesh currents as the circuit variables. 2. Nodal analysis applies KCL to find unknown voltages in a given circuit, while mesh analysis applies KVL to find unknown currents. 3. A mesh is a loop which does not contain any other loops within it Mesh Analysis (2) Steps to determine the mesh currents: 1. Assign mesh currents i 1, i 2,, in to the n meshes. 2. Apply KCL to each of the n meshes. Use Ohm s law to express the voltages in terms of the mesh currents. 3. Solve the resulting n simultaneous equations to get the mesh currents. 16 8
9 3.4 Mesh Analysis (3) Example 8 circuit with independent voltage sources Note: i 1 and i 2 are mesh current (imaginative, not measurable directly) I 1, I 2 and I 3 are branch current (real, measurable directly) I 1 = i 1 ; I 2 = i 2 ; I 3 = i 1  i 2 *Refer to inclass illustration, textbook Mesh Analysis (4) Example 9 circuit with dependent voltage source *Refer to inclass illustration, textbook, answer I o = 1.5A 18 9
10 3.5 Mesh Analysis with Current Source (1) Circuit with current source A supermesh results when two meshes have a (dependent or independent) current source in common as shown in (a). We create a supermesh by excluding the current source and any elements connected in series with it as shown in (b). *Refer to inclass illustration, textbook Mesh Analysis with Current Source (2) The properties of a supermesh: 1. The current source in the supermesh is not completely ignored; it provides the constraint equation necessary to solve for the mesh currents. 2. A supermesh has no current of its own. 3. A supermesh requires the application of both KVL and KCL
11 3.6 Nodal and Mesh Analysis with Inspection (1) The properties of a supermesh: 1. The current source in the supermesh is not completely ignored; it provides the constraint equation necessary to solve for the mesh currents. 2. A supermesh has no current of its own. 3. A supermesh requires the application of both KVL and KCL Nodal and Mesh Analysis with Inspection (2) Example 10 By inspection, write the nodal voltage equations for the circuit *Refer to inclass illustration, textbook 22 11
12 3.6 Nodal and Mesh Analysis with Inspection (3) Example 11 By inspection, write the meshcurrent equations for the circuit *Refer to inclass illustration, textbook Nodal versus Mesh Analysis (1) To select the method that results in the smaller number of equations. For example: 1. Choose nodal analysis for circuit with fewer nodes than meshes. *Choose mesh analysis for circuit with fewer meshes than nodes. *Networks that contain many series connected elements, voltage sources, or supermeshes are more suitable for mesh analysis. *Networks with parallelconnected elements, current sources, or supernodes are more suitable for nodal analysis. 2. If node voltages are required, it may be expedient to apply nodal analysis. If branch or mesh currents are required, it may be better to use mesh analysis
13 This document was created with Win2PDF available at The unregistered version of Win2PDF is for evaluation or noncommercial use only.
MeshCurrent Method (Loop Analysis)
MeshCurrent Method (Loop Analysis) Nodal analysis was developed by applying KCL at each nonreference node. MeshCurrent method is developed by applying KVL around meshes in the circuit. A mesh is a loop
More informationChapter 4: Methods of Analysis
Chapter 4: Methods of Analysis 4.1 Motivation 4.2 Nodal Voltage Analysis 4.3 Simultaneous Eqs. & Matrix Inversion 4.4 Nodal Voltage Analysis with Voltage Sources 4.5 Mesh Current Analysis 4.6 Mesh Current
More informationChapter 2. Circuit Analysis Techniques
Chapter 2 Circuit Analysis Techniques 1 Objectives To formulate the nodevoltage equations. To solve electric circuits using the node voltage method. To introduce the mesh current method. To formulate
More informationChapter 4: Techniques of Circuit Analysis
4.1 Terminology Example 4.1 a. Nodes: a, b, c, d, e, f, g b. Essential Nodes: b, c, e, g c. Branches: v 1, v 2, R 1, R 2, R 3, R 4, R 5, R 6, R 7, I d. Essential Branch: v 1 R 1, R 2 R 3, v 2 R 4, R
More informationNode and Mesh Analysis
Node and Mesh Analysis 1 Copyright ODL Jan 2005 Open University Malaysia Circuit Terminology Name Definition Node Essential node Path Branch Essential Branch Loop Mesh A point where two ore more branches
More information120 CHAPTER 3 NODAL AND LOOP ANALYSIS TECHNIQUES SUMMARY PROBLEMS SECTION 3.1
IRWI03_082132v3 8/26/04 9:41 AM Page 120 120 CHAPTER 3 NODAL AND LOOP ANALYSIS TECHNIQUES SUMMARY Nodal analysis for an Nnode circuit Select one node in the Nnode circuit as the reference node. Assume
More information07Nodal Analysis Text: ECEGR 210 Electric Circuits I
07Nodal Analysis Text: 3.1 3.4 ECEGR 210 Electric Circuits I Overview Introduction Nodal Analysis Nodal Analysis with Voltage Sources Dr. Louie 2 Basic Circuit Laws Ohm s Law Introduction Kirchhoff s Voltage
More information4. Basic Nodal and Mesh Analysis
1 4. Basic Nodal and Mesh Analysis This chapter introduces two basic circuit analysis techniques named nodal analysis and mesh analysis 4.1 Nodal Analysis For a simple circuit with two nodes, we often
More informationEECE251 Circuit Analysis Set 2: Methods of Circuit Analysis
EECE251 Circuit Analysis Set 2: Methods of Circuit Analysis Shahriar Mirabbasi Department of Electrical and Computer Engineering University of British Columbia shahriar@ece.ubc.ca 1 Reading Material Chapter
More informationProblem set #5 EE 221, 09/26/ /03/2002 1
Chapter 3, Problem 42. Problem set #5 EE 221, 09/26/2002 10/03/2002 1 In the circuit of Fig. 3.75, choose v 1 to obtain a current i x of 2 A. Chapter 3, Solution 42. We first simplify as shown, making
More informationChapter 4 Objectives
Chapter 4 Engr228 Circuit Analysis Dr Curtis Nelson Chapter 4 Objectives Understand and be able to use the nodevoltage method to solve a circuit; Understand and be able to use the meshcurrent method
More informationExample: Determine the power supplied by each of the sources, independent and dependent, in this circuit:
Example: Determine the power supplied by each of the sources, independent and dependent, in this circuit: Solution: We ll begin by choosing the bottom node to be the reference node. Next we ll label the
More informationElectric Circuits. Overview. Hani Mehrpouyan,
Electric Circuits Hani Mehrpouyan, Department of Electrical and Computer Engineering, Lecture 5 (Mesh Analysis) Sep 8 th, 205 Hani Mehrpouyan (hani.mehr@ieee.org) Boise State c 205 Overview With Ohm s
More informationBasic Laws Circuit Theorems Methods of Network Analysis NonLinear Devices and Simulation Models
EE Modul 1: Electric Circuits Theory Basic Laws Circuit Theorems Methods of Network Analysis NonLinear Devices and Simulation Models EE Modul 1: Electric Circuits Theory Current, Voltage, Impedance Ohm
More informationEE 201 ELECTRIC CIRCUITS. Class Notes CLASS 8
EE 201 ELECTRIC CIRCUITS Class Notes CLASS 8 The material covered in this class will be as follows: Nodal Analysis in the Presence of Voltage Sources At the end of this class you should be able to: Apply
More informationECE 211 WORKSHOP: NODAL AND LOOP ANALYSIS. Tutor: Asad Akram
ECE 211 WORKSHOP: NODAL AND LOOP ANALYSIS Tutor: Asad Akram 1 AGENDA Background: KCL and KVL. Nodal Analysis: Independent Sources and relating problems, Dependent Sources and relating problems. Loop (Mesh
More informationCircuit Analysis using the Node and Mesh Methods
Circuit Analysis using the Node and Mesh Methods We have seen that using Kirchhoff s laws and Ohm s law we can analyze any circuit to determine the operating conditions (the currents and voltages). The
More informationModule 2. DC Circuit. Version 2 EE IIT, Kharagpur
Module 2 DC Circuit Lesson 5 Nodevoltage analysis of resistive circuit in the context of dc voltages and currents Objectives To provide a powerful but simple circuit analysis tool based on Kirchhoff s
More informationSeries and Parallel Resistors
Series and Parallel Resistors 1 Objectives To calculate the equivalent resistance of series and parallel resistors. 2 Examples for resistors in parallel and series R 4 R 5 Series R 6 R 7 // R 8 R 4 //
More informationBasic circuit analysis
EIE209 Basic Electronics Basic circuit analysis Analysis 1 Fundamental quantities Voltage potential difference bet. 2 points across quantity analogous to pressure between two points Current flow of charge
More informationSCHOOL OF MATHEMATICS MATHEMATICS FOR PART I ENGINEERING. Self Study Course
SCHOOL OF MATHEMATICS MATHEMATICS FOR PART I ENGINEERING Self Stud Course MODULE 27 FURTHER APPLICATIONS TO ELECTRICAL CIRCUITS Module Topics 1. Inverse of a matri using elimination 2. Mesh analsis of
More informationChapter 08. Methods of Analysis
Chapter 08 Methods of Analysis Source: Circuit Analysis: Theory and Practice Delmar Cengage Learning CC Tsai Outline Source Conversion Mesh Analysis Nodal Analysis DeltaWye ( Y) Conversion Bridge Networks
More informationSeriesParallel Circuits
Chapter 6 SeriesParallel Circuits Topics Covered in Chapter 6 61: Finding R T for SeriesParallel Resistances 62: Resistance Strings in Parallel 63: Resistance Banks in Series 64: Resistance Banks
More informationThevenin Equivalent Circuits
hevenin Equivalent Circuits Introduction In each of these problems, we are shown a circuit and its hevenin or Norton equivalent circuit. he hevenin and Norton equivalent circuits are described using three
More informationTECHNIQUES OF. C.T. Pan 1. C.T. Pan
TECHNIQUES OF CIRCUIT ANALYSIS C.T. Pan 1 4.1 Introduction 4.2 The NodeVoltage Method ( Nodal Analysis ) 4.3 The MeshCurrent Method ( Mesh Analysis ) 4.4 Fundamental Loop Analysis 4.5 Fundamental Cutset
More informationChapter 2 Objectives
Chapter 2 Engr228 Circuit Analysis Dr Curtis Nelson Chapter 2 Objectives Understand symbols and behavior of the following circuit elements: Independent voltage and current sources; Dependent voltage and
More informationLecture Notes: ECS 203 Basic Electrical Engineering Semester 1/2010. Dr.Prapun Suksompong 1 June 16, 2010
Sirindhorn International Institute of Technology Thammasat University School of Information, Computer and Communication Technology Lecture Notes: ECS 203 Basic Electrical Engineering Semester 1/2010 Dr.Prapun
More informationHow can we deal with a network branch which is part of two networks each with a source? R3 is carrying current supplied by each battery
Network nalysis ims: Consolidate use of KCL in circuit analysis. Use Principle of Superposition. Learn basics of Node Voltage nalysis (uses KCL) Learn basics of Mesh Current nalysis (uses KVL) Lecture
More informationNodal Analysis Objective: To analyze circuits using a systematic technique: the nodal analysis.
Circuits (MTE 20) (Spring 200) Nodal Analysis Objective: To analyze circuits using a systematic technique: the nodal analysis. http://pami.uwaterloo.ca/~akrem/ University of Waterloo, Electrical and Computer
More information3LEARNING GOALS. Analysis Techniques
IRWI3_8232hr 9/3/4 8:54 AM Page 82 3 Nodal 3LEARNING GOALS and Loop Analysis Techniques 3. Nodal Analysis An analysis technique in which one node in an Nnode network is selected as the reference node and
More information3. Introduction and Chapter Objectives
Real nalog Circuits Chapter 3: Nodal and Mesh nalysis 3. Introduction and Chapter Objectives In Chapters and 2, we introduced several tools used in circuit analysis: Ohm s law, Kirchoff s laws, and circuit
More informationNodal and Loop Analysis
Nodal and Loop Analysis The process of analyzing circuits can sometimes be a difficult task to do. Examining a circuit with the node or loop methods can reduce the amount of time required to get important
More informationGraph theory and systematic analysis
Electronic Circuits 1 Graph theory and systematic analysis Contents: Graph theory Tree and cotree Basic cutsets and loops Independent Kirchhoff s law equations Systematic analysis of resistive circuits
More informationES203 Electrical Systems Study Guide. C.A. Berry
ES203 Electrical Systems Study Guide C.A. Berry ES203 Electrical Systems Study Guide Lecture 11: Introduction and Overview eading: 1.13 Objectives: Be able to briefly and clearly explain static electricity,
More informationEE301  PARALLEL CIRCUITS AND KIRCHHOFF S CURRENT LAW
Objectives a. estate the definition of a node and demonstrate how to measure voltage and current in parallel circuits b. Solve for total circuit resistance of a parallel circuit c. State and apply KCL
More informationMatrices & Their Applications: Nodal Analysis
Matrices & Their Applications: Nodal Analysis Introduction Nodal analysis is a method applied to electrical circuits to determine the nodal voltages. In electrical circuits nodes are points where two or
More informationSeries and Parallel Resistive Circuits
Series and Parallel Resistive Circuits The configuration of circuit elements clearly affects the behaviour of a circuit. Resistors connected in series or in parallel are very common in a circuit and act
More informationThe node voltage method
The node voltage method Equivalent resistance Voltage / current dividers Source transformations Node voltages Mesh currents Superposition Not every circuit lends itself to shortcut methods. Sometimes
More informationSeriesParallel Circuits. Objectives
SeriesParallel Circuits Objectives Identify seriesparallel configuration Analyze seriesparallel circuits Apply KVL and KCL to the seriesparallel circuits Analyze loaded voltage dividers Determine the
More informationDirectCurrent Circuits
Chapter 13 DirectCurrent Circuits In This Chapter: Resistors in Series Resistors in Parallel EMF and Internal Resistance Kirchhoff s Rules Resistors in Series The equivalent resistance of a set of resistors
More informationChapter 5. Parallel Circuits ISU EE. C.Y. Lee
Chapter 5 Parallel Circuits Objectives Identify a parallel circuit Determine the voltage across each parallel branch Apply Kirchhoff s current law Determine total parallel resistance Apply Ohm s law in
More informationADVANCED METHODS OF DC AND AC CIRCUIT
CHAPTER 11 ADVANCED METHODS OF DC AND AC CIRCUIT ANALYSIS Learning Objectives As a result of successfully completing this chapter, you should be able to: 1. Explain why more sophisticated methods of circuit
More informationModule 2. DC Circuit. Version 2 EE IIT, Kharagpur
Module DC Circuit Lesson 4 Loop Analysis of resistive circuit in the context of dc voltages and currents Objectives Meaning of circuit analysis; distinguish between the terms mesh and loop. To provide
More information(a) Working from right to left, and borrowing x y notation from resistance calculations to indicate the operation xy/(x + y),
1 Problem set #6, EE 221, 10/08/2002 10/15/2002 Chapter 3, Problem 55. Determine G in in for each network shown in Fig. 3.86. Values are all given in millisiemens. Chapter 3, Solution 55. (a) Working from
More informationEE201 Circuit Theory I 2015 Spring. Dr. Yılmaz KALKAN
EE201 Crcut Theory I 2015 Sprng Dr. Yılmaz KALKAN 1. Basc Concepts (Chapter 1 of Nlsson  3 Hrs.) Introducton, Current and Voltage, Power and Energy 2. Basc Laws (Chapter 2&3 of Nlsson  6 Hrs.) Voltage
More informationNODE ANALYSIS. One of the systematic ways to determine every voltage and current in a circuit
NODE ANALYSIS One of the systematic ways to determine eery oltage and current in a circuit The ariables used to describe the circuit will be Node oltages  The oltages of each node with respect to a preselected
More informationKirchhoff s Laws. Kirchhoff's Law #1  The sum of the currents entering a node must equal the sum of the currents exiting a node.
Kirchhoff s Laws There are two laws necessary for solving circuit problems. For simple circuits, you have been applying these equations almost instinctively. Kirchhoff's Law #1  The sum of the currents
More informationUNIVERSITY OF CALIFORNIA BERKELEY Engineering 7 Department of Civil and Environmental Engineering. Linear Equations: Engineering Supplement
UNIVERSITY OF CALIFORNIA BERKELEY Engineering 7 Department of Civil and Environmental Engineering Spring 203 Professor: S. Govindjee Linear Equations: Engineering Supplement Introduction The workhorse
More informationChapter 6. SeriesParallel Circuits. Objectives
Chapter 6 SeriesParallel Circuits Objectives Identify seriesparallel relationships Analyze seriesparallel circuits Analyze loaded voltage dividers Determine the loading effect of a voltmeter on a circuit
More informationChapter 07. SeriesParallel Circuits
Chapter 07 SeriesParallel Circuits Source: Circuit Analysis: Theory and Practice Delmar Cengage Learning The SeriesParallel Network Complex circuits May be separated both series and/or parallel elements
More informationUnit 1 Physics Foundation, Circuit Elements, KVL & KCL Unit 2 Analysis Techniques Unit 3 Op Amps & TwoPorts
Unit 1 Physics Foundation, Circuit Elements, KVL & KCL Unit 2 Analysis Techniques Unit 3 Op Amps & TwoPorts ROSEHULMAN INSTITUTE OF TECHNOLOGY ECE 203 DC Circuits Winter 0910 Course Information and
More informationNODAL ANALYSIS. Circuits Nodal Analysis 1 M H Miller
NODAL ANALYSIS A branch of an electric circuit is a connection between two points in the circuit. In general a simple wire connection, i.e., a 'shortcircuit', is not considered a branch since it is known
More informationSolving for Voltage and Current
Chapter 3 Solving for Voltage and Current Nodal Analysis If you know Ohm s Law, you can solve for all the voltages and currents in simple resistor circuits, like the one shown below. In this chapter, we
More informationKirchhoff s Voltage Law
BASIC ELECTRICAL Kirchhoff s Voltage Law OBJECTIVES Define Kirchhoff s Voltage Law Discuss how Kirchhoff s Voltage Law applies to Series and Parallel Circuits Calculate Voltage drops in a Series and Parallel
More informationKirchhoff's Current Law (KCL)
Kirchhoff's Current Law (KCL) I. Charge (current flow) conservation law (the Kirchhoff s Current law) Pipe Pipe Pipe 3 Total volume of water per second flowing through pipe = total volume of water per
More informationSirindhorn International Institute of Technology Thammasat University at Rangsit
Sirindhorn International Institute of Technology Thammasat University at angsit School of Information, Computer and Communication Technology COUSE : ECS 204 Basic Electrical Engineering Lab INSTUCTO :
More informationChapter 21 Electric Current and DirectCurrent Circuit
Chapter 2 Electric Current and DirectCurrent Circuit Outline 2 Electric Current 22 Resistance and Ohm s Law 23 Energy and Power in Electric Circuit 24 Resistance in Series and Parallel 25 Kirchhoff
More information3: Nodal Analysis. E1.1 Analysis of Circuits (20157020) Nodal Analysis: 3 1 / 12. 3: Nodal Analysis
Current Floating Voltage Dependent E1.1 Analysis of Circuits (20157020) Nodal Analysis: 3 1 / 12 Aim of Nodal Analysis Current Floating Voltage Dependent The aim of nodal analysis is to determine the
More informationAnalysis of a singleloop circuit using the KVL method
Analysis of a singleloop circuit using the KVL method Figure 1 is our circuit to analyze. We shall attempt to determine the current through each element, the voltage across each element, and the power
More informationPhysics Worksheet Electric Circuits Section: Name: Series Circuits
Do Now: (1) What is electric circuit? (2) Convert the following picture into schematic diagram. Series Circuits 4. Label every component of the circuit; identify each of the voltage and current. 5. Relation
More informationCircuits. Page The diagram below represents a series circuit containing three resistors.
Name: Circuits Date: 1. Which circuit segment has an equivalent resistance of 6 ohms? 4. The diagram below represents a series circuit containing three resistors. 2. Base your answer to the following question
More informationDC mesh current analysis
DC mesh current analysis This worksheet and all related files are licensed under the Creative Commons Attribution License, version 1.0. To view a copy of this license, visit http://creativecommons.org/licenses/by/1.0/,
More information13.10: How Series and Parallel Circuits Differ pg. 571
13.10: How Series and Parallel Circuits Differ pg. 571 Key Concepts: 5. Connecting loads in series and parallel affects the current, potential difference, and total resistance.  Using your knowledge of
More informationJ. McNames Portland State University ECE 221 Basic Laws Ver
Basic Laws Overview Ideal sources: series & parallel Resistance & Ohm s Law Definitions: open circuit, short circuit, conductance Definitions: nodes, branches, & loops Kirchhoff s Laws Voltage dividers
More informationDepartment of Electrical and Electronic Engineering, California State University, Sacramento
Department of Electrical and Electronic Engineering, California State University, Sacramento Engr 17 Introductory Circuit Analysis, graded, 3 units Instructor: Tatro Fall 2016 Section 1, Call No. 84063,
More informationDepartment of Electrical and Electronic Engineering, California State University, Sacramento
Department of Electrical and Electronic Engineering, California State University, Sacramento Engr 17 Introductory Circuit Analysis, graded, 3 units Instructor: Tatro  Spring 2016 Section 2, Call No. 30289,
More informationVerification of Ohm s Law, Kirchoff s Voltage Law and Kirchoff s Current Law Brad Peirson
Verification of Ohm s Law, Kirchoff s Voltage Law and Kirchoff s Current Law Brad Peirson 22405 EGR 214 Circuit Analysis I Laboratory Section 04 Prof. Blauch Abstract The purpose of this report is to
More informationInternational Islamic University Chittagong Department of Electrical & Electronics Engineering
International Islamic University Chittagong Department of Electrical & Electronics Engineering Course No: EEE 1102 Course Title: Electrical Circuit I Sessional Experiment No : 01 Experiment Name: Introduction
More informationPHYSICS 176. Experiment 3. Kirchhoff's Laws. Three resistors (Nominally: 1 Kilohm, 2 Kilohm, 3 Kilohm).
PHYSICS 176 Experiment 3 Kirchhoff's Laws Equipment: Supplies: Digital Multimeter, Power Supply (020 V.). Three resistors (Nominally: 1 Kilohm, 2 Kilohm, 3 Kilohm). A. Kirchhoff's Loop Law Suppose that
More informationPreamble. Kirchoff Voltage Law (KVL) Series Resistors. In this section of my lectures we will be. resistor arrangements; series and
Preamble Series and Parallel Circuits Physics, 8th Edition Custom Edition Cutnell & Johnson Chapter 0.60.8, 0.0 Pages 6068, 696 n this section of my lectures we will be developing the two common types
More informationW03 Analysis of DC Circuits. Yrd. Doç. Dr. Aytaç Gören
W03 Analysis of DC Circuits Yrd. Doç. Dr. Aytaç Gören ELK 2018  Contents W01 Basic Concepts in Electronics W02 AC to DC Conversion W03 Analysis of DC Circuits (self and condenser) W04 Transistors and
More informationChapter 17 11/13/2014
Chapter 17 Voltage / Current source conversions Mesh and Nodal analysis in an AC circuit Balance conditions and what elements are needed in a bridge network ECET 207 AC Circuit Analysis, PNC 2 1 Magnitude
More information= (0.400 A) (4.80 V) = 1.92 W = (0.400 A) (7.20 V) = 2.88 W
Physics 2220 Module 06 Homework 0. What are the magnitude and direction of the current in the 8 Ω resister in the figure? Assume the current is moving clockwise. Then use Kirchhoff's second rule: 3.00
More informationLab 4 Series and Parallel Resistors
Lab 4 Series and Parallel Resistors What You Need To Know: (a) (b) R 3 FIGURE  Circuit diagrams. (a) and are in series. (b) and are not in series. The Physics Last week you examined how the current and
More informationParallel Circuits. Objectives
Parallel Circuits Objectives Identify a parallel circuit Determine the voltage across each parallel branch Apply Kirchhoff s Current Law Determine total parallel resistance Apply Ohm s law in a parallel
More information2: Resistor Circuits. E1.1 Analysis of Circuits ( ) Resistor Circuits: 2 1 / 13. 2: Resistor Circuits
and E1.1 Analysis of Circuits (20168284) Resistor Circuits: 2 1 / 13 Kirchoff s Voltage Law and The five nodes are labelled A, B, C, D, E wheree is the reference node. Each component that links a pair
More informationEMF and Terminal Voltage Resistors in Series and Parallel Kirchhoff s Rules EMFs in Series and Parallel; Charging a Battery Circuits with Capacitors
Chapter 19 DC Electrical Circuits Topics in Chapter 19 EMF and Terminal Voltage Resistors in Series and Parallel Kirchhoff s Rules EMFs in Series and Parallel; Charging a Battery Circuits with Capacitors
More informationLO1: Be able to apply AC and DC circuit theory to circuit design DC networks
Unit 5: Electrical and electronic design LO1: Be able to apply AC and DC circuit theory to circuit design DC networks Instructions and answers for teachers These instructions should accompany the OCR resource
More informationFundamentals of Electrical Engineering 2 Grundlagen der Elektrotechnik 2
Fundamentals of Electrical Engineering 2 Grundlagen der Elektrotechnik 2 Chapter: Sinusoidal Steady State Analysis / Netzwerkanalyse bei harmonischer Erregung Michael E. Auer Source of figures: Alexander/Sadiku:
More informationReactance and Impedance
Reactance and Impedance Capacitance in AC Circuits Professor Andrew H. Andersen 1 Objectives Describe capacitive ac circuits Analyze inductive ac circuits Describe the relationship between current and
More informationExperiment 8 SeriesParallel Circuits
Experiment 8 SeriesParallel Circuits EL 111  DC Fundamentals By: Walter Banzhaf, E.K. Smith, and Winfield Young University of Hartford Ward College of Technology Objectives: 1. For the student to measure
More informationUnit 4: Series and parallel connections
Unit 4: Series and parallel connections R 1 R 2 Fig. 4.1 Series connection of two resistances The analysis of a circuit can be simplified by reducing the effective number of components present in the circuit.
More informationProject 4: Introduction to Circuits The attached Project was prepared by Professor YihFang Huang from the department of Electrical Engineering.
Project 4: Introduction to Circuits The attached Project was prepared by Professor YihFang Huang from the department of Electrical Engineering. The examples given are example of basic problems that you
More informationCornerstone Electronics Technology and Robotics I Week 15 Combination Circuits (SeriesParallel Circuits)
Cornerstone Electronics Technology and Robotics I Week 15 Combination Circuits (SeriesParallel Circuits) Administration: o Prayer o Turn in quiz Electricity and Electronics, Chapter 8, Introduction: o
More informationKirchhoff s Laws in Dynamic Circuits
Kirchhoff s Laws in Dynamic Circuits Dynamic circuits are circuits that contain capacitors and inductors. Later we will learn to analyze some dynamic circuits by writing and soling differential equations.
More informationUnit FE2 Foundation Electricity: DC Network Analysis
Unit FE2 Foundation Electricity: DC Network Analysis What this unit is about This unit contains some basic ideas on DC network analysis. It also deals with the Thevenin theorem, a technique of considerable
More informationà 7.Electrical Circuits and Kirchhoff's Rules
1 à 7.Electrical Circuits and Kirchhoff's Rules Electrical circuits involving batteries and resistors can be treated using a method of analysis developed by Kirchoff. There are just two Kirchhoff's rules:
More informationTristan s Guide to: Solving Parallel Circuits. Version: 1.0 Written in 2006. Written By: Tristan Miller Tristan@CatherineNorth.com
Tristan s Guide to: Solving Parallel Circuits. Version: 1.0 Written in 2006 Written By: Tristan Miller Tristan@CatherineNorth.com Parallel Circuits. Parallel Circuits are a little bit more complicated
More informationch 18 practice Multiple Choice
ch 18 practice Multiple Choice Identify the choice that best completes the statement or answers the question. 1. Which of the following is the best description of a schematic diagram? a. uses pictures
More informationChapter 24. ThreePhase Voltage Generation
Chapter 24 ThreePhase Systems ThreePhase Voltage Generation Threephase generators Three sets of windings and produce three ac voltages Windings are placed 120 apart Voltages are three identical sinusoidal
More informationECE EQUIVALENT CIRCUITS  INVESTIGATION 17 EQUIVALENT RESISTANCE
ECE 109  EQUALET CRCUTS  ESTGATO 17 EQUALET RESSTACE FALL 2006 A.P. FELZER To do "well" on this investigation you must not only get the right answers but must also do neat, complete and concise writeups
More informationCircuits 1 M H Miller
Introduction to Graph Theory Introduction These notes are primarily a digression to provide general background remarks. The subject is an efficient procedure for the determination of voltages and currents
More informationFUNDAMENTALS OF ENGINEERING (FE) EXAMINATION
January 8, 008 1:55 Appc Sheet number 1 Page number 77 magenta black A P P E N D I X C FUNDAMENTALS OF ENGINEERING (FE) EXAMINATION C.1 INTRODUCTION The Fundamentals of Engineering (FE) examination 1 is
More informationCircuits. The light bulbs in the circuits below are identical. Which configuration produces more light? (a) circuit I (b) circuit II (c) both the same
Circuits The light bulbs in the circuits below are identical. Which configuration produces more light? (a) circuit I (b) circuit II (c) both the same Circuit II has ½ current of each branch of circuit
More information8. Resistors in Parallel
8. Resistors in Parallel Resistors are said to be connected together in "Parallel" when both of their terminals are respectively connected to each terminal of the other resistor or resistors. Unlike the
More informationIntroduction to SeriesParallel DC Circuits. Online Resource for ETCH 213 Faculty: B. Allen
Introduction to SeriesParallel DC Circuits Seriesparallel circuit A network or circuit that contains components that are connected in both series and parallel. Seriesparallel resistive circuits Tracking
More informationMore Concepts. I = dq. Current is the rate of flow of charge around a circuit.
RC Circuits In this presentation, circuits with multiple batteries, resistors and capacitors will be reduced to an equivalent system with a single battery, a single resistor, and a single capacitor. Kirchoff's
More informationExperiment 8 SeriesParallel Circuits
Experiment 8 SeriesParallel Circuits EL 111  DC Fundamentals By: Walter Banzhaf, E.K. Smith, and Winfield Young University of Hartford Ward College of Technology Objectives: 1. For the student to measure
More informationHomework 6 Solutions PHYS 212 Dr. Amir
Homework 6 Solutions PHYS Dr. Amir Chapter 5: 9. (II) A 00W lightbulb has a resistance of about Ω when cold (0 C) and 0 Ω when on (hot). Estimate the temperature of the filament when hot assuming an average
More informationClicker Question. Which of the two arrangements shown has the smaller equivalent resistance between points a and b?
Which of the two arrangements shown has the smaller equivalent resistance between points a and b? A. the series arrangement B. the parallel arrangement C. The equivalent resistance is the same for both
More information